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#include "rb_lapack.h"
extern VOID sbdsdc_(char* uplo, char* compq, integer* n, real* d, real* e, real* u, integer* ldu, real* vt, integer* ldvt, real* q, integer* iq, real* work, integer* iwork, integer* info);
static VALUE
rblapack_sbdsdc(int argc, VALUE *argv, VALUE self){
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_compq;
char compq;
VALUE rblapack_d;
real *d;
VALUE rblapack_e;
real *e;
VALUE rblapack_u;
real *u;
VALUE rblapack_vt;
real *vt;
VALUE rblapack_q;
real *q;
VALUE rblapack_iq;
integer *iq;
VALUE rblapack_info;
integer info;
VALUE rblapack_d_out__;
real *d_out__;
VALUE rblapack_e_out__;
real *e_out__;
real *work;
integer *iwork;
integer n;
integer c__9;
integer c__0;
integer ldq;
integer ldvt;
integer ldiq;
integer lwork;
integer ldu;
integer smlsiz;
VALUE rblapack_options;
if (argc > 0 && TYPE(argv[argc-1]) == T_HASH) {
argc--;
rblapack_options = argv[argc];
if (rb_hash_aref(rblapack_options, sHelp) == Qtrue) {
printf("%s\n", "USAGE:\n u, vt, q, iq, info, d, e = NumRu::Lapack.sbdsdc( uplo, compq, d, e, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SBDSDC( UPLO, COMPQ, N, D, E, U, LDU, VT, LDVT, Q, IQ, WORK, IWORK, INFO )\n\n* Purpose\n* =======\n*\n* SBDSDC computes the singular value decomposition (SVD) of a real\n* N-by-N (upper or lower) bidiagonal matrix B: B = U * S * VT,\n* using a divide and conquer method, where S is a diagonal matrix\n* with non-negative diagonal elements (the singular values of B), and\n* U and VT are orthogonal matrices of left and right singular vectors,\n* respectively. SBDSDC can be used to compute all singular values,\n* and optionally, singular vectors or singular vectors in compact form.\n*\n* This code makes very mild assumptions about floating point\n* arithmetic. It will work on machines with a guard digit in\n* add/subtract, or on those binary machines without guard digits\n* which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2.\n* It could conceivably fail on hexadecimal or decimal machines\n* without guard digits, but we know of none. See SLASD3 for details.\n*\n* The code currently calls SLASDQ if singular values only are desired.\n* However, it can be slightly modified to compute singular values\n* using the divide and conquer method.\n*\n\n* Arguments\n* =========\n*\n* UPLO (input) CHARACTER*1\n* = 'U': B is upper bidiagonal.\n* = 'L': B is lower bidiagonal.\n*\n* COMPQ (input) CHARACTER*1\n* Specifies whether singular vectors are to be computed\n* as follows:\n* = 'N': Compute singular values only;\n* = 'P': Compute singular values and compute singular\n* vectors in compact form;\n* = 'I': Compute singular values and singular vectors.\n*\n* N (input) INTEGER\n* The order of the matrix B. N >= 0.\n*\n* D (input/output) REAL array, dimension (N)\n* On entry, the n diagonal elements of the bidiagonal matrix B.\n* On exit, if INFO=0, the singular values of B.\n*\n* E (input/output) REAL array, dimension (N-1)\n* On entry, the elements of E contain the offdiagonal\n* elements of the bidiagonal matrix whose SVD is desired.\n* On exit, E has been destroyed.\n*\n* U (output) REAL array, dimension (LDU,N)\n* If COMPQ = 'I', then:\n* On exit, if INFO = 0, U contains the left singular vectors\n* of the bidiagonal matrix.\n* For other values of COMPQ, U is not referenced.\n*\n* LDU (input) INTEGER\n* The leading dimension of the array U. LDU >= 1.\n* If singular vectors are desired, then LDU >= max( 1, N ).\n*\n* VT (output) REAL array, dimension (LDVT,N)\n* If COMPQ = 'I', then:\n* On exit, if INFO = 0, VT' contains the right singular\n* vectors of the bidiagonal matrix.\n* For other values of COMPQ, VT is not referenced.\n*\n* LDVT (input) INTEGER\n* The leading dimension of the array VT. LDVT >= 1.\n* If singular vectors are desired, then LDVT >= max( 1, N ).\n*\n* Q (output) REAL array, dimension (LDQ)\n* If COMPQ = 'P', then:\n* On exit, if INFO = 0, Q and IQ contain the left\n* and right singular vectors in a compact form,\n* requiring O(N log N) space instead of 2*N**2.\n* In particular, Q contains all the REAL data in\n* LDQ >= N*(11 + 2*SMLSIZ + 8*INT(LOG_2(N/(SMLSIZ+1))))\n* words of memory, where SMLSIZ is returned by ILAENV and\n* is equal to the maximum size of the subproblems at the\n* bottom of the computation tree (usually about 25).\n* For other values of COMPQ, Q is not referenced.\n*\n* IQ (output) INTEGER array, dimension (LDIQ)\n* If COMPQ = 'P', then:\n* On exit, if INFO = 0, Q and IQ contain the left\n* and right singular vectors in a compact form,\n* requiring O(N log N) space instead of 2*N**2.\n* In particular, IQ contains all INTEGER data in\n* LDIQ >= N*(3 + 3*INT(LOG_2(N/(SMLSIZ+1))))\n* words of memory, where SMLSIZ is returned by ILAENV and\n* is equal to the maximum size of the subproblems at the\n* bottom of the computation tree (usually about 25).\n* For other values of COMPQ, IQ is not referenced.\n*\n* WORK (workspace) REAL array, dimension (MAX(1,LWORK))\n* If COMPQ = 'N' then LWORK >= (4 * N).\n* If COMPQ = 'P' then LWORK >= (6 * N).\n* If COMPQ = 'I' then LWORK >= (3 * N**2 + 4 * N).\n*\n* IWORK (workspace) INTEGER array, dimension (8*N)\n*\n* INFO (output) INTEGER\n* = 0: successful exit.\n* < 0: if INFO = -i, the i-th argument had an illegal value.\n* > 0: The algorithm failed to compute a singular value.\n* The update process of divide and conquer failed.\n*\n\n* Further Details\n* ===============\n*\n* Based on contributions by\n* Ming Gu and Huan Ren, Computer Science Division, University of\n* California at Berkeley, USA\n* =====================================================================\n* Changed dimension statement in comment describing E from (N) to\n* (N-1). Sven, 17 Feb 05.\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n u, vt, q, iq, info, d, e = NumRu::Lapack.sbdsdc( uplo, compq, d, e, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 4 && argc != 4)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 4)", argc);
rblapack_uplo = argv[0];
rblapack_compq = argv[1];
rblapack_d = argv[2];
rblapack_e = argv[3];
if (argc == 4) {
} else if (rblapack_options != Qnil) {
} else {
}
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (3th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (3th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_d);
if (NA_TYPE(rblapack_d) != NA_SFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_SFLOAT);
d = NA_PTR_TYPE(rblapack_d, real*);
c__9 = 9;
compq = StringValueCStr(rblapack_compq)[0];
c__0 = 0;
ldvt = lsame_(&compq,"I") ? MAX(1,n) : 0;
lwork = lsame_(&compq,"N") ? 4*n : lsame_(&compq,"P") ? 6*n : lsame_(&compq,"I") ? 3*n*n+4*n : 0;
smlsiz = ilaenv_(&c__9, "SBDSDC", " ", &c__0, &c__0, &c__0, &c__0);
if (!NA_IsNArray(rblapack_e))
rb_raise(rb_eArgError, "e (4th argument) must be NArray");
if (NA_RANK(rblapack_e) != 1)
rb_raise(rb_eArgError, "rank of e (4th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_e) != (n-1))
rb_raise(rb_eRuntimeError, "shape 0 of e must be %d", n-1);
if (NA_TYPE(rblapack_e) != NA_SFLOAT)
rblapack_e = na_change_type(rblapack_e, NA_SFLOAT);
e = NA_PTR_TYPE(rblapack_e, real*);
ldiq = lsame_(&compq,"P") ? n*(3+3*(int)(log(((double)n)/(smlsiz+1))/log(2.0))) : 0;
ldq = lsame_(&compq,"P") ? n*(11+2*smlsiz+8*(int)(log(((double)n)/(smlsiz+1))/log(2.0))) : 0;
ldu = lsame_(&compq,"I") ? MAX(1,n) : 0;
{
na_shape_t shape[2];
shape[0] = lsame_(&compq,"I") ? ldu : 0;
shape[1] = lsame_(&compq,"I") ? n : 0;
rblapack_u = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
u = NA_PTR_TYPE(rblapack_u, real*);
{
na_shape_t shape[2];
shape[0] = lsame_(&compq,"I") ? ldvt : 0;
shape[1] = lsame_(&compq,"I") ? n : 0;
rblapack_vt = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
vt = NA_PTR_TYPE(rblapack_vt, real*);
{
na_shape_t shape[1];
shape[0] = lsame_(&compq,"I") ? ldq : 0;
rblapack_q = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
q = NA_PTR_TYPE(rblapack_q, real*);
{
na_shape_t shape[1];
shape[0] = lsame_(&compq,"I") ? ldiq : 0;
rblapack_iq = na_make_object(NA_LINT, 1, shape, cNArray);
}
iq = NA_PTR_TYPE(rblapack_iq, integer*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_d_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
d_out__ = NA_PTR_TYPE(rblapack_d_out__, real*);
MEMCPY(d_out__, d, real, NA_TOTAL(rblapack_d));
rblapack_d = rblapack_d_out__;
d = d_out__;
{
na_shape_t shape[1];
shape[0] = n-1;
rblapack_e_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
e_out__ = NA_PTR_TYPE(rblapack_e_out__, real*);
MEMCPY(e_out__, e, real, NA_TOTAL(rblapack_e));
rblapack_e = rblapack_e_out__;
e = e_out__;
work = ALLOC_N(real, (MAX(1,lwork)));
iwork = ALLOC_N(integer, (8*n));
sbdsdc_(&uplo, &compq, &n, d, e, u, &ldu, vt, &ldvt, q, iq, work, iwork, &info);
free(work);
free(iwork);
rblapack_info = INT2NUM(info);
return rb_ary_new3(7, rblapack_u, rblapack_vt, rblapack_q, rblapack_iq, rblapack_info, rblapack_d, rblapack_e);
}
void
init_lapack_sbdsdc(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "sbdsdc", rblapack_sbdsdc, -1);
}
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